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Finding the Third Proportional to 2,565,658 and 5,538,092

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Solution

The third proportional to 2,565,658 and 5,538,092 is: 11,954,228.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,565,658 : 5,538,092 = 5,538,092 : x
  2. Step 2: Convert to fraction form
    2,565,658/5,538,092 = 5,538,092/x
  3. Step 3: Cross multiply
    2,565,658x = 5,538,092 × 5,538,092
  4. Step 4: Simplify right side
    2,565,658x = 30,670,463,000,464
  5. Step 5: Solve for x
    x = 30,670,463,000,464/2,565,658
  6. Step 6: Final answer
    x = 11,954,228.90

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.